In the figure,if AB parallel DE,angle BAC = 3 | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Given that $AB \parallel DE$ and $AE$ acts as a transversal.Since $AB \parallel DE$,the alternate interior angles are equal.Therefore,$\angle AED

Vedclass · Accepted Answer

$92$

Vedclass · Answer

(C) Given that $AB \parallel DE$ and $AE$ acts as a transversal.Since $AB \parallel DE$,the alternate interior angles are equal.Therefore,$\angle AED = \angle BAC = 35^o$.Now,consider the triangle $\Delta CDE$.The sum of the angles in a triangle is $180^o$.So,$\angle CDE + \angle DEC + \angle DCE = 180^o$.Substituting the known values,we get $53^o + 35^o + \angle DCE = 180^o$.$88^o + \angle DCE = 180^o$.$\angle DCE = 180^o - 88^o = 92^o$.

In the figure,if $AB \parallel DE$,$\angle BAC = 35^o$ and $\angle CDE = 53^o$,find $\angle DCE$. (in $^o$)

Similar Questions

$A$ transversal intersects two parallel lines. Prove that the bisectors of any pair of corresponding angles so formed are parallel.

In the figure,if $AB \parallel CD$,$\angle APQ = 50^o$ and $\angle PRD = 127^o$,find $x$ and $y$.

If two parallel lines are intersected by a transversal,then each pair of corresponding angles are...........

If two parallel lines are intersected by a transversal,then interior angles on the same side of the transversal are $\ldots \ldots . . .$

In the figure,if $AB \parallel CD$,$EF \perp CD$ and $\angle GED = 126^o$,find $\angle AGE$,$\angle GEF$ and $\angle FGE$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module